QUANTUM DYNAMICAL ENTROPY FOR COMPLETELY POSITIVE MAP

DOI10.1142/S021902579900014XzbMath0973.46055OpenAlexW1994290478MaRDI QIDQ4528538

Noboru Watanabe, Masanori Ohya, Andrzej Kossakowski

Publication date: 29 November 2001

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021902579900014x

zbMATH Keywords

completely positive mapdynamical entropyAF entropyfinite operational partitionquantum Markov

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30)

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Cites Work

• Unnamed Item
• Some aspects of quantum information theory and their applications to irreversible processes
• Dynamical entropy of C *-algebras and von Neumann algebras
• Quantum ergodic channels in operator algebras
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Numerical computation of quantum capacity
• Dynamical entropy of generalized quantum Markov chains
• Defining quantum dynamical entropy
• Note on quantum dynamical entropies
• Dynamical approximation entropies and topological entropy in operator algebras
• Entropy functionals of Kolmogorov-Sinai type and their limit theorems
• Positivity of the K-entropy on non-abelian K-flows
• Topological entropy for appropriately approximated C*-algebrasa)
• On compound state and mutual information in quantum information theory (Corresp.)
• Entropy for extensions of Bernoulli shifts